Maximum entropy μSR analysis 1: planting the kernel

T Riseman; Edward Forgan

doi:10.1016/S0921-4526(02)01607-1

Maximum entropy μSR analysis 1: planting the kernel

T Riseman, Edward Forgan

Physics and Astronomy

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

The asymmetry signal of a transverse field muSR time histogram is primarily the Fourier transform of the local field distribution P(b) for samples with static local fields b. The maximum entropy technique is used to produce a muSR lineshape which automatically deconvolutes the pulse structure of the beam (for pulsed facilities) and the time window. In this paper, we describe how to combine several component kernels to construct the transformation matrix for converting the lineshape into a time signal. We discuss the implications for improving the muSR maximum entropy (ME) algorithm under certain circumstances, and how dipolar broadening might be deconvoluted safely. This transformation may also be used to create accurate theoretical time signals for conventional fitting. (C) 2002 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	226-229
Number of pages	4
Journal	Physica B - Physics of Condensed Matter
Volume	326
Issue number	1-4
DOIs	https://doi.org/10.1016/S0921-4526(02)01607-1
Publication status	Published - 1 Feb 2003

Keywords

data analysis
maximum entropy
inverse problem

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10.1016/S0921-4526(02)01607-1

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AB - The asymmetry signal of a transverse field muSR time histogram is primarily the Fourier transform of the local field distribution P(b) for samples with static local fields b. The maximum entropy technique is used to produce a muSR lineshape which automatically deconvolutes the pulse structure of the beam (for pulsed facilities) and the time window. In this paper, we describe how to combine several component kernels to construct the transformation matrix for converting the lineshape into a time signal. We discuss the implications for improving the muSR maximum entropy (ME) algorithm under certain circumstances, and how dipolar broadening might be deconvoluted safely. This transformation may also be used to create accurate theoretical time signals for conventional fitting. (C) 2002 Elsevier Science B.V. All rights reserved.

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KW - inverse problem

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Maximum entropy μSR analysis 1: planting the kernel

Abstract

Keywords

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